Quynh Vatm
New member
Tìm nguyên hàm của hàm số \(f(x) = \frac{{2x + 3}}{{2{x^2} - x - 1}}\).
A. \(\int {f(x)dx = } \frac{2}{3}\ln \left| {2x + 1} \right| + \frac{5}{3}\ln \left| {x - 1} \right| + C\)
B. \(\int {f(x)dx = } - \frac{2}{3}\ln \left| {2x + 1} \right| + \frac{5}{3}\ln \left| {x - 1} \right| + C\)
C. \(\int {f(x)dx = } \frac{2}{3}\ln \left| {2x + 1} \right| - \frac{5}{3}\ln \left| {x - 1} \right| + C\)
D. \(\int {f(x)dx = } - \frac{1}{3}\ln \left| {2x + 1} \right| + \frac{5}{3}\ln \left| {x - 1} \right| + C\)
A. \(\int {f(x)dx = } \frac{2}{3}\ln \left| {2x + 1} \right| + \frac{5}{3}\ln \left| {x - 1} \right| + C\)
B. \(\int {f(x)dx = } - \frac{2}{3}\ln \left| {2x + 1} \right| + \frac{5}{3}\ln \left| {x - 1} \right| + C\)
C. \(\int {f(x)dx = } \frac{2}{3}\ln \left| {2x + 1} \right| - \frac{5}{3}\ln \left| {x - 1} \right| + C\)
D. \(\int {f(x)dx = } - \frac{1}{3}\ln \left| {2x + 1} \right| + \frac{5}{3}\ln \left| {x - 1} \right| + C\)